Statistics Homework Solutions 155

Statistics Homework Solutions 155 - 155 SECTION 6.10 1000...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
SECTION 6.10 155 (b) The total number of observation is n 1000. The expected values are np 1 , np 2 and np 3 , or 900, 50, and 50. (c) The observed values are 860, 60, and 80. χ 2 860 900 2 900 60 50 2 50 80 50 2 50 21 7778. (d) There are 3 1 2 degrees of freedom. From the χ 2 table, P 0 005. A computer package gives P 1 9 10 5 . The true percentages differ from 90%, 5%, and 5%. 3. The row totals are O 1 173 and O 2 210. The column totals are O 1 181, O 2 99, O 3 31, O 4 11, O 5 61. The grand total is O 383. The expected values are E ij O i O j O , as shown in the following table. Net Excess Capacity 0% 0 – 10% 11 – 20% 21 – 30% 30% Small 81.7572 44.7180 14.0026 4.9687 27.5535 Large 99.2428 54.2820 16.9974 6.0313 33.4465 There are 2 1 5 1 4 degrees of freedom. χ 2 2 i 1 5 j 1 O ij E ij 2 E ij 12 945. From the χ 2 table, 0 01 P 0 05. A computer package gives P 0 012. It is reasonable to conclude that the distributions differ. 5. The row totals are
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern